Step-by-step explanation:
The equation used to determine the amount of radioactive material left is
[tex]A = A_0(2)^{-t/HL}[/tex]
We are have the following given quantities:
t = 30 seconds
[tex]A_0[/tex] = 50 grams
HL = 6 seconds
Plugging these into our equation we get
[tex]A = (50\:\text{grams})(2)^{-(30s/6s)}[/tex]
[tex]\:\:\:\:= (50\:\text{grams})(0.03125)[/tex]
[tex]\:\:\:\:= 1.56\:\text{grams}[/tex]
